SECONDARY MATH I // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

2.2

READY

Topic:'Comparing'rates'of'change'in'linear'situations.''State%which%situation%has%the%greatest%rate%of%change%%

1.'''The'amount'of'stretch'in'a'short'bungee'cord'stretches'6'inches'when'stretched'by'a'3''''''''pound'weight.'A'slinky'stretches'3'feet'when'stretched'by'a'1'pound'weight.''''2.''''A'sunflower'that'grows'2'inches'every'day'or'an'amaryllis'that'grows'18'inches'in'one'''''''''week.''''3.''''Pumping'25'gallons'of'gas'into'a'truck'in'3'minutes'or'filling'a'bathtub'with'40'gallons'of'''''''''water'in'5'minutes.''''4.''''Riding'a'bike'10'miles'in'1'hour'or'jogging'3'miles'in'24'minutes.'

SET

Topic:''Discrete'and'continuous'relationships'Identify%whether%the%following%items%best%fit%with%a%discrete%or%a%continuous%model.%Then%determine%whether%it%is%a%linear-(arithmetic)%or%exponential-(geometric)%relationship%that%is%being%described.%5.' The'freeway'construction'crew'pours'300'ft'of'concrete'in'a'day.'6.' For'every'hour'that'passes,'the'amount'of'area'infected'by'the'bacteria'doubles.'7.' To'meet'the'demands'placed'on'them'the'brick'layers'have'started'laying'5%'more'bricks'each'day.'8.' The'average'person'takes'10,000'steps'in'a'day.'9.' The'city'of'Buenos'Aires'has'been'adding'8%'to'its'population'every'year.'10.'At'the'headwaters'of'the'Mississippi'River'the'water'flows'at'a'surface'rate'of'1.2'miles'per'hour.'11.''a.''''! ! = ! ! − 1 + 3; ! 1 = 5''''''''''''''''''b. c.'! ! = 2!(7)'

READY, SET, GO! ''''''Name' ''''''Period'''''''''''''''''''''''Date'

SECONDARY MATH I // MODULE 2

LINEAR & EXPONENTIAL FUNCTIONS

Mathematics Vision Project

Licensed under the Creative Commons Attribution CC BY 4.0

mathematicsvisionproject.org

2.2

GO

Topic: Solving one-step equations Solve the following equations. Remember that what you do to one side of the equation must also be done to the other side. (Show your work, even if you can do these in your head.) Example: Solve for x . !!!!!!!!!1! + 7 = 23!!!!!!!!!!!!!!!!!!!!!""! − 7!!!!!"#ℎ!!"#$!!!"!!ℎ!!!"#$%&'(.

Example: Solve for x. !!!!!!!!!!9! = 63!!!!"#$%&#'!!"#ℎ!!"#$!!!"!!ℎ!!!"#$%&'(!!"! !!!.

Note that multiplying by !! gives the same result as dividing everything by 9.

11. !!1! + 16 = 36 12. 1! − 13 = 10 13. 1! − 8 = !−3 14. 8! = 56 15. !−11! = 88 16. 425! = 850!

17. !!!!!!!! ! = 10 18. − !! ! = !−1 19.

!! ! = !−9

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